Multiply the second question by -1 to cancel out the y’s. then add them. 11x=-11
x=-1
substitute that back into one of the equations
-3(-1)+y=-5
3+y=-5
y=-8
Answer:
For the length I think you meant 32, and if you did it is $14.40
If not and you meant length of 2 it is $0.90
Step-by-step explanation:
If 12 = 2y, then y = 6. To solve this kind of equation, whatever you do to one side of the equation, you must do to the other, and it will remain equivalent. If you divide both sides by 2, you get 6 = y. Also, 2 * 6 = 12, a much easier way to find the answer.
Answer:the present age of the father is 45 years
Step-by-step explanation:
Let x represent the present age of the father.
Let y represent the present age of the son.
Let z represent the age of the daughter.
A father is 3 times as old as his son. This means that
x = 3y
his daughter is 3 years younger than the son. It means that
z = y - 3
The sum of their ages 3 years ago was 63. This means that
x - 3 + y - 3 + z - 3 = 63
x + y + z - 9 = 63 - - - - - - - - - - 1
Substituting x = 3y and z = y - 3 into equation 1, it becomes
3y + y + y - 3 - 9 = 63
5y - 12 = 63
5y = 63 + 12 = 75
y = 75/5 = 15
x = 3y = 3 × 15
x = 45
z = y - 3 = 15 - 3
z = 12
Answer:
The range is 17
Step-by-step explanation:
91-74 = 17
The range is the highest number subtracted by the lowest number